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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

Use the data in Appendix 4 for the following.

a. Calculate  Δ and Δ for the reaction

3 Fe 2 O 3 ( s ) + CO ( g ) 2 Fe 3 O 4 ( s ) + CO 2 ( g )

that occurs in a blast furnace.

b. Assume that  Δ and Δ are independent of temperature. Calculate  Δ at 800.°C for this reaction.

(a)

Interpretation Introduction

Interpretation: The reaction between Fe2O3 and CO is given. The value of ΔH,ΔS and ΔG are to be calculated for the given options.

Concept introduction: The expression for ΔH is,

ΔH=npΔH(product)nfΔH(reactant)

The expression for ΔS is,

ΔS=npΔS(product)nfΔS(reactant)

The expression for standard Gibbs free energy, ΔG, is,

ΔG=ΔHTΔS

To determine: The value of ΔH and ΔS for the given reaction.

Explanation

Explanation

The reaction that takes place is,

3Fe2O3(s)+CO(g)2Fe3O4(s)+CO2(g)

Refer to Appendix 4.

The value of ΔH(kJ/mol) for the given reactant and product is,

Molecules ΔH0(kJ/mol)
Fe3O4(s) 1117
CO2(g) 393.5
Fe2O3(s) 826
CO(g) 110.5

The formula of ΔH is,

ΔH=npΔH(product)nfΔH(reactant)

Where,

  • ΔH is the standard enthalpy of reaction.
  • np is the number of moles of each product.
  • nr is the number of moles each reactant.
  • ΔH(product) is the standard enthalpy of product at a pressure of 1atm.
  • ΔH(reactant) is the standard enthalpy of reactant at a pressure of 1atm.

Substitute all values from the table in the above equation.

ΔH=npΔH(product)nfΔH(reactant)=[2(1117)+2(393.5){3(826)+(110

(b)

Interpretation Introduction

Interpretation: The reaction between Fe2O3 and CO is given. The value of ΔH,ΔS and ΔG are to be calculated for the given options.

Concept introduction: The expression for ΔH is,

ΔH=npΔH(product)nfΔH(reactant)

The expression for ΔS is,

ΔS=npΔS(product)nfΔS(reactant)

The expression for standard Gibbs free energy, ΔG, is,

ΔG=ΔHTΔS

To determine: The value of ΔG at 800°C for the given reaction.

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